Paths, Demazure Crystals and Symmetric Functions
A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama
TL;DR
This paper reviews the path realization of Demazure crystals and explores their Demazure characters through the lens of symmetric functions, connecting combinatorial and algebraic perspectives.
Contribution
It provides a comprehensive review of Demazure crystal paths and their characters, highlighting new insights into their symmetric function representations.
Findings
Clarified the relationship between Demazure crystals and symmetric functions
Presented new combinatorial models for Demazure characters
Connected crystal theory with classical symmetric function theory
Abstract
We review the path realization of Demazure crystals and discuss Demazure characters in the light of symmetric functions.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Molecular spectroscopy and chirality